Geodesic
Quantum limits of measurability of the electromagnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 1, pp. 29-39 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The method of integration over field configurations is applied to the problem of finding quantum restrictions on measurability of electromagnetic field strength. It is shown that there exist two different definitions of the field strength which coincide in classical theory but are distinct in quantum theory. They also correspond to different measurement schemes. In one case no absolute quantum limit exists but the corresponding measurement does not supply reliable information about the internal state of the field (but only about the external classical influence on the field). In the second case the measurement provides information about the internal state of the field but is restricted by quantum limit. Classical works by Landau and Peierls and Bohr and Rosenfeld are discussed in the light of the results obtained. 
@article{TMF_1989_80_1_a2,
     author = {M. B. Menskii},
     title = {Quantum limits of~measurability of~the electromagnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {29--39},
     year = {1989},
     volume = {80},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a2/}
}
TY  - JOUR
AU  - M. B. Menskii
TI  - Quantum limits of measurability of the electromagnetic field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1989
SP  - 29
EP  - 39
VL  - 80
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a2/
LA  - ru
ID  - TMF_1989_80_1_a2
ER  - 
%0 Journal Article
%A M. B. Menskii
%T Quantum limits of measurability of the electromagnetic field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1989
%P 29-39
%V 80
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a2/
%G ru
%F TMF_1989_80_1_a2
M. B. Menskii. Quantum limits of measurability of the electromagnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 1, pp. 29-39. http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a2/

[1] Landau L., Peierls R., Zs. Phys., 69 (1931), 56 ; Landau L. D., Sobranie trudov, T. I, Nauka, M., 1969, S. 56–70. | DOI | MR

[2] Bohr N., Kgl. Danske Videnskab Selskab., Math.-Fys. Medd., 12:8 (1933), 3–65; Bor N., Izbrannye nauchnye trudy, t. II, Nauka, M., 1971, S. 120–162.

[3] DeWitt B. S., “Dynamical theory of groups and fields”, Relativity, Groups, and Topology, Blackie and Son, London–Glasgaw, 1964, 598–615 ; De Vitt B. S., Dinamicheskaya teoriya grupp i polei, Nauka, M., 1987 | MR | MR

[4] Bergmann P. G., Smith G. J., General Relativity and Gravitation, 14:12 (1982), 1131–1166 | DOI | MR

[5] Borzeszkowski H.-H. von, The Meaning of Quantum Gravity, D. Reidel Publishing Co., Dordrecht a. o., 1988 | MR

[6] Mensky M. B., Ann. der Phys., 45:3 (1988), 215–221 | DOI

[7] Mensky M. B., Phys. Rev., D20:2 (1979), 384–387

[8] Menskii M. B., ZhETF, 77:4 (1979), 1326–1339

[9] Menskii M. B., Gruppa putei: izmereniya, polya, chastitsy, Nauka, M., 1983 | MR

[10] Mensky M. B., “On quantum theory of measurements of gravitational field”, Proc. 3d Sem. on Quantum Gravity (Moscow, 1984), World Scientific, Singapore, 1985, 188–204 | MR

[11] Itsikson K., Zyuber Zh.-B., Kvantovaya teoriya polya, Mir, M., 1984 | MR